A triangle A B C and a line segment which creates a smaller triangle D E C nested inside the first triangle are given. In the larger triangle, vertex A is on the bottom left of the triangle, vertex B...

A triangleABC and a line segment which creates a smaller triangleDEC nested inside the first triangle are given.

• In the larger triangle, vertexA is on the bottom left of the triangle, vertexB is to the right of vertexA, and vertexC is above and slightly to the right of the center of the other two vertices.


• The smaller triangle shares vertexC with the larger triangle, vertexD is on line segmentAC of the larger triangle and vertexE is on line segmentBC of the larger triangle.


• Line segmentAD has length 8.60 m, line segmentDC has length 12.9 m, line segmentCE has length 10.8 m, and line segmentAB has length 25.0 m.

Find the length (in m) ofDE.

Find the length (in m) of BC.